On graph theoretic results underlying the analysis of consensus in multi-agent systems
arXiv:0902.4218 · doi:10.1109/JPROC.2010.2049911
Abstract
This note corrects a pretty serious mistake and some inaccuracies in "Consensus and cooperation in networked multi-agent systems" by R. Olfati-Saber, J.A. Fax, and R.M. Murray, published in Vol. 95 of the Proceedings of the IEEE (2007, No. 1, P. 215-233). It also mentions several stronger results applicable to the class of problems under consideration and addresses the issue of priority whose interpretation in the above-mentioned paper is not exact.
3 pages, 13 references. Submitted
References in corpus (6)
- On the spectra of nonsymmetric Laplacian matrices
- The Matrix of Maximum Out Forests of a Digraph and Its Applications
- Forest matrices around the Laplacian matrix
- Coordination in multiagent systems and Laplacian spectra of digraphs
- Spanning Forests of a Digraph and Their Applications
- Which Digraphs with Ring Structure are Essentially Cyclic?